L1 Space: Difference between revisions

Revision as of 08:18, 15 December 2020

From our study of integration, we know that if $f,g$ are integrable functions, the following are integrable:

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-==Introduction==
+===Introduction===
-From our study of integration, we know that:
+From our study of integration, we know that if <math> f,g</math> are integrable functions, the following are integrable:
 <ol>
-<li>If <math>c\geq 0, \int c\phi=c\int\phi</math>
+<li><math>f+g</math>
+<li><math>cf</math>, for <math> c\in\mathbb{R}</math>
 <ol>
- <math>\{f_n\}</math> is a sequence of non-negative measurable functions, <math> f_n: X \to [0,+\infty]</math>.
-Then:
 ==References==